Loose Leaf Version for Intermediate Algebra

Chapter 1 Review of Basic Algebraic Concepts

1.1 Sets of Number and Interval Notation

1.2 Operation on Real Numbers

1.3 Simplifying Expressions

1.4 Linear Equations in One Variable -- Problem Recognition Exercises: Expressions and Equations

1.5 Applications of Linear Equations in One Variable

1.6 Literal Equations and Applications to Geometry

1.7 Linear Inequalities in One Variable

1.8 Properties of Integer Exponents and Scientific Notation

Chapter 2 Graphing Linear Equations and Functions

2.1 Linear Equations in Two Variables

2.2 Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope

2.3 Equations of a Line

2.4 Application of Linear Equations and Modeling

2.5 Introduction to Relations

2.6 Introduction to Functions

2.7 Graphs of Basic Functions

Chapter 3 Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing

3.2 Solving Systems of Linear Equations by Using the Substitution Method

3.3 Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations

3.4 Applications of Systems of Linear Equations in Two Variables

3.5 Systems of Linear Equations in Three Variables and Applications

3.6 Solving Systems of Linear Equations by Using Matrices

Chapter 4 Polynomials

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.

4.2 Multiplication of Polynomials

4.3 Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials

4.4 Greatest Common Factor and Factoring by Grouping

4.5 Factoring Trinomials

4.6 Factoring Binomials

4.7 Additional Factoring Strategies

4.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions

5.2 Multiplication and Division of Rational Expressions

5.3 Addition and Subtraction of Rational Expressions

5.4 Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions

5.5 Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations

5.6 Applications of Rational Equations and Proportions

5.7 Variation

Chapter 6 Radicals and Complex Numbers

6.1 Definition of an nth-Root

6.2 Rational Exponents

6.3 Simplifying Radical Expressions

6.4 Addition and Subtraction of Radicals

6.5 Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions

6.6 Rationalization

6.7 Solving Radical Equations

6.8 Complex Numbers

Chapter 7 Quadratic Equations and Functions

7.1 Square Root Property and Completing the Square

7.2 Quadratic Formula

7.3 Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types

7.4 Graphs of Quadratic Functions

7.5 Applications of Quadratic Functions and Modeling

Chapter 8 More Equations and Inequalities

8.1 Compound Inequalities

8.2 Polynomial and Rational Inequalities

8.3 Absolute Value Equations

8.4 Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities

8.5 Linear Inequalities in Two Variables

Chapter 9 Exponential and Logarithmic Functions

9.1 Algebra and Composition of Functions

9.2 Inverse Functions

9.3 Exponential Functions

9.4 Logarithmic Functions

9.5 Properties of Logarithms

9.6 The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms

9.7 Exponential and Logarithmic Equations

Chapter 10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles

10.2 More of the Parabola

10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections

10.4 Nonlinear Systems of Equations in Two Variables

10.5 Nonlinear Inequalities and System if Inequalities

Additional Topics Appendix

A.1 Binomial Expansions

A.2 Determinants and Cramer’s Rule

A.3 Sequences and Series

A.4 Arithmetic and Geometric Sequences and Series

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